10805857920 has 512 divisors, whose sum is σ = 44971718400. Its totient is φ = 2417541120.

The previous prime is 10805857913. The next prime is 10805857927. The reversal of 10805857920 is 2975850801.

It is a happy number.

10805857920 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 58 + 579 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10805857913) and next prime (10805857927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10805857927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2468854 + ... + 2473226.

Almost surely, 2^10805857920 is an apocalyptic number.

10805857920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10805857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22485859200).

10805857920 is an abundant number, since it is smaller than the sum of its proper divisors (34165860480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10805857920 is a wasteful number, since it uses less digits than its factorization.

10805857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10805857920 in words is "ten billion, eight hundred five million, eight hundred fifty-seven thousand, nine hundred twenty".